The difference between twice a number and a number that is 5 more than it is 3. Which of the following equations could be used t
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we know that
The formula to calculate the slope between two points is equal to
<u>Part a) Find the slope of line PQ</u>
substitute in the formula
Any line parallel to X-axis has slope equal to zero
so
the line PQ is parallel to the x-axis
therefore
<u>the answer Part a) is </u>
<u>Part b) Find the slope of line MN</u>
substitute in the formula
Anything divided by zero is undefined
m=undefined
therefore
<u>the answer Part b) is </u>
undefined
<u>Part c) How are the two lines related ? </u>
we know that
Any line perpendicular to X-axis has slope undefined
Because the term will always be zero
so
<u>the answer Part c) is</u>
the lines are perpendicular
3:5 ratio mean there are 8 "parts" (3 + 5 = 8)
The distance between the x-coordinates is |-3 - 5| = 8.
So each "part" is 8/8 = 1 unit long in the x-direction.
You want I to be 3(1) = 3 units from D, so the x-coordinate of I is -3 + 3 = 0.
Same deal for y.
|2 - 5| = 3 is the distance between D and E
Each part is 3/8.
3(3/8) = 9/8
2 + 9/8 = 25/8
So the point I is (0, 25/8)
The distance between the x-coordinates is |-3 - 5| = 8.
So each "part" is 8/8 = 1 unit long in the x-direction.
You want I to be 3(1) = 3 units from D, so the x-coordinate of I is -3 + 3 = 0.
Same deal for y.
|2 - 5| = 3 is the distance between D and E
Each part is 3/8.
3(3/8) = 9/8
2 + 9/8 = 25/8
So the point I is (0, 25/8)